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Finding the Third Proportional to 474,214 and 843,168

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Solution

The third proportional to 474,214 and 843,168 is: 1,499,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,214 : 843,168 = 843,168 : x
  2. Step 2: Convert to fraction form
    474,214/843,168 = 843,168/x
  3. Step 3: Cross multiply
    474,214x = 843,168 × 843,168
  4. Step 4: Simplify right side
    474,214x = 710,932,276,224
  5. Step 5: Solve for x
    x = 710,932,276,224/474,214
  6. Step 6: Final answer
    x = 1,499,180.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.